Research Article

The Projective Character Tables of a Solvable Group

Table 10

Projective character table of with factor set .

1a2a2b2c2d2e2f2g2h2i3a3b2j2k4a4b6a6b2l2m4c4d6c6d2n2o4e4f6e6f

768256256256256256646464641212192643232121219264323212121926432321212

2222220000−1−1−2−200112200−1−1−2−20011
2222220000−1−1−2−20011−2−200112200−1−1
2222220000−1−12200−1−1−2−20011−2−20011
2222220000−1−12200−1−12200−1−12200−1−1
2222220000A/A−2−200A−/A2200A/A−2−200A−/A
2222220000/AA−2−200−/AA2200/AA−2−200−/AA
2222220000A/A−2−200A−/A−2−200A−/A2200A/A
2222220000/AA−2−200−/AA−2−200−/AA2200/AA
2222220000A/A2200A/A−2−200A−/A−2−200A−/A
2222220000/AA2200/AA−2−200−/AA−2−200−/AA
2222220000A/A2200A/A2200A/A2200A/A
2222220000/AA2200/AA2200/AA2200/AA
6−2−2−26−2000000−62000000BB0000BB00
6−2−2−26−2000000−62000000BB0000BB00
6−2−2−26−20000006−2000000BB0000BB00
6−2−2−26−20000006−2000000BB0000BB00
66−2−2−2−200000000BB0000BB006−20000
66−2−2−2−200000000BB0000BB006−20000
66−2−2−2−200000000BB0000BB00−620000
66−2−2−2−200000000BB0000BB00−620000
6−26−2−2−200000000BB00−62000000BB00
6−26−2−2−200000000BB00−62000000BB00
6−26−2−2−200000000BB006−2000000BB00
6−26−2−2−200000000BB006−2000000BB00
12−4−412−4−4000000000000000000000000
12−4−4−4−412000000000000000000000000

Note. A = ; B = −2i.